Quantum cosmology for a quadratic theory of gravity

Luis O Pimentel, Octavio Obregón
1994 Classical and quantum gravity  
For pure fourth order (${\cal{L}} \propto R^2$) quantum cosmology the Wheeler-DeWitt equation is solved exactly for the closed homogeneous and isotropic model. It is shown that by imposing as boundary condition that $\Psi = 0$ at the origin of the universe the wave functions behave as suggested by Vilenkin.
doi:10.1088/0264-9381/11/9/007 fatcat:quf5mgiifjeg5hwob2emhqkq4m